Figures 1b and 1c show the curves ABCDE which can be obtained in this case. They have a characteristic s-shaped form, typical for the fold catastrophe which is so well known in catastrophe theory, see e.g. [1]}. It consists of three parts, two of which have a positive slope (AB and CDE) and are stable. BC with a negative slope is unstable. When the end of the stable part is reached, a jump from B to D to the other stable branch occurs. We see that the upper stable solution is suitable for our problem, since for it the ratio of the mass growth rates of DM and baryonic matter can be quite large. However, to enter the required regime, the baryon accretion rate must exceed a certain threshold value \(\dot{M}_{bc}\simeq 1/(4N\tilde{b}_1)\)  corresponding to a jump in the capture rate \(\dot{M}_{DM}\) .
